We have measured the Zeeman splitting of the CCS J(N) = 3(2)-2(1) line at 3
3 GHz toward L1498, a dense preprotostellar core, in an effort to measure t
he line-of-sight component of its magnetic field. With approximately 35 hr
of data on source (70 hr total) in good weather, the data suggest a line-of
-sight component of the magnetic field in L1498 of 48 +/- 31 muG, yielding
an upper limit of B-los < 100 <mu>G at the 95% confidence level. This upper
limit provides some constraints on models. Our results show that the techn
ique we have adopted to measure CCS Zeeman splitting holds great promise fo
r determining magnetic field strengths in cloud cores using lower-frequency
transitions, in particular the CCS J(N) = 1(0)-0(0) line at 11 GHz. At thi
s transition, the frequency splitting per gauss is 3 times that at 33 GHz,
the brightness temperature is comparable to the line, and receiver systems
can be made more sensitive.